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Finding the Fourth Proportional to 68.93, 103.37 and 30.39

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Solution

The fourth proportional to 68.93, 103.37 and 30.39 is: 45.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.93 : 103.37 = 30.39 : x
  2. Step 2: Convert to fraction form
    68.93/103.37 = 30.39/x
  3. Step 3: Cross multiply
    68.93x = 103.37 × 30.39
  4. Step 4: Simplify right side
    68.93x = 3,140.99
  5. Step 5: Solve for x
    x = 3,140.99/68.93
  6. Step 6: Final answer
    x = 45.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.